Instability of the time splitting scheme for the one-dimensional and relativistic Vlasov-Maxwell system

  • Authors:

  • F. Huot;A. Ghizzo;P. Bertrand;E. Sonnendrücker;O. Coulaud

  • Affiliations:

  • Laboratoire de physique des milieux ionisés, UMR 7040, BP 239 54506 Vandoeuvre les Nancy, Cedex, France;Laboratoire de physique des milieux ionisés, UMR 7040, BP 239 54506 Vandoeuvre les Nancy, Cedex, France;Laboratoire de physique des milieux ionisés, UMR 7040, BP 239 54506 Vandoeuvre les Nancy, Cedex, France;Institute Elie Cartan de Nancy, Université Henri Poincaré I, BP 239 54506 Vandoeuvre les Nancy, Cedex, France;INRIA Project Scalaplix, LaBRI Domaine universitaire 351, 33000 Talence, France

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2003

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Abstract

The Time Splitting Scheme (TSS) has been examined within the context of the one-dimensional (1D) relativistic Vlasov-Maxwell model. In the strongly relativistic regime of the laser-plasma interaction, the TSS cannot be applied to solve the Vlasov equation. We propose a new semi-Lagrangian scheme based on a full 2D advection and study its advantages over the classical Splitting procedure. Details of the underlying integration of the Vlasov equation appear to be important in achieving accurate plasma simulations. Examples are given which are related to the relativistic modulational instability and the self-induced transparency of an ultra-intense electromagnetic pulse in the relativistic regime.